20
QuizMultiple Choice

Applying Trigonometric Identities and Equations — Test

Question 20 • Precalculus

Two trains leave a station on different tracks. The tracks make an angle of 130 degrees , with the station as a vertex. The first train travels 100 km and makes its first stop at point cap A , while the second train travels 200 km and makes it first stop at point cap b How far apart are the trains when both are at their first stop? Round the answer to the nearest integer.

Answer
A
65 km
B
275 km
C
139 km
D
224 km

Explanation

The trains’ routes and the distance between their stops form a triangle with sides 100 km and 200 km enclosing an angle of 130°. By the Law of Cosines, the distance between the stops is √(100² + 200² − 2 × 100 × 200 × cos 130°) ≈ 275.2 km. Rounded to the nearest integer, the trains are 275 km apart, so the answer is 275 km.

AI-written and checked against the verified answer.

Previous
Next